Online GCD Calculator is useful to find the GCD of 345, 777, 157, 909 quickly. Get the easiest ways to solve the greatest common divisor of 345, 777, 157, 909 i.e 1 in different methods as follows.
Given Input numbers are 345, 777, 157, 909
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (345, 777, 157, 909) = 1.
Given numbers are 345, 777, 157, 909
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 777 are 3 x 7 x 37
Prime factors of 157 are 157
Prime factors of 909 are 3 x 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 777, 157, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 777) = 89355
GCD(345, 777) = ( 345 x 777 ) / 89355
= 345 / 777
= 345
Step2:
LCM(3, 157) = 471
GCD(3, 157) = ( 3 x 157 ) / 471
= 3 / 157
= 3
Step3:
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
= 1 / 909
= 1
So, Greatest Common Divisor of 345, 777, 157, 909 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 777, 157, 909
The greatest common divisor of numbers 345, 777, 157, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 777, 157, 909 is 1.
1. What is the GCD of 345, 777, 157, 909?
GCD of given numbers 345, 777, 157, 909 is 1
2. How to calculate the greatest common divisor of 345, 777, 157, 909?
We can find the highest common divisor of 345, 777, 157, 909 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 345, 777, 157, 909 i.e 1.
3. How can I use the GCD of 345, 777, 157, 909Calculator?
Out the numbers 345, 777, 157, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.